Problem of the Day March 24, 2020

March 24, 2020

Grade 6

Place the following decimals in order from least to greatest: 1.02, 1.002,  102.022, 1.2, 12.02,

Grade 7

Convert the following decimals into a simplified fraction and a percent.

.04, .45. 1.25

Grade 8

Simplify the following exponential expressions: 

(2x)³, (2x²)³, (2x²)(2³x³)²

Algebra

Simplify the following radicals:

Geometry

Name the 4 triangle congruence theorems and draw and example of each.

Algebra II

Convert the following quadratic equation into vertex form: 

2x² + 16x + 12

Trigonometry

Give the values for sin and cos of the following angles: 

PreCalculus

Find the vertical and horizontal asymptotes of the rational function without graphing:

Answers: 

Grade 6: 1.002, 1.02, 1.2, 12.02, 122.022

Grade 7:

Grade 8:  8x³, 8x⁶, 128x⁸

Algebra:

Geometry: see this website https://www.appohigh.org/ourpages/auto/2014/11/17/63624959/Congruent%20Triangles.pdf

Algebra II:  2(x + 4)² -20  vertex (-4, -20)

Trigonometry:   sin     cos   ,        sin     cos 

                            sin    cos   ,      sin  -1   cos  0

                             sin      cos 

Precalculus: Vertical Asymptotes x =   and x = 2

                       Horizontal Asymptote y = 2